Further investigation and theoretical work showed that the effect was a radiationless effect more than an internal conversion effect by use of elementary quantum mechanics and transition rate and transition probability calculations.

Further, the larger cooled area can reduce performance below theoretical levels by reducing the pressure against the nozzle.

Further advances in theoretical particle physics, particularly developments in grand unified theories and quantum gravity, have led to more compelling arguments that monopoles do exist.

Further classifications of capital that have been used in various theoretical or applied uses include:

Further formal game theoretical signalling models demonstrated the evolutionary stability of handicapped signals in nestlings ' begging calls, in predator-deterrent signals and in threat-displays.

Further theoretical work has generalized the construction somewhat, and given more precise bounds for security .< ref name = 7-rounds >

Further theoretical analysis and experiments support the reciprocal relations for chemical kinetics with transport.

Further research into the theoretical characterizations of human – machine interaction led to developments like " the Model Human Processor, the GOMS theory of user interaction, information foraging theory, and statistical descriptions of Internet use ".

Further research in the meaning of crises as experienced by the consumers of traditional social casework services -- including attempts to develop a typology of family structures, crisis problems, reaction mechanisms, and differential treatment approaches -- and the establishment of new experimental programs are imperative social needs which should command the best efforts of caseworkers in collaboration with community planners.

Further studies are needed to better understand the conditions under which problem-solving therapy is effective for depression ; however, this type of therapy is compatible with occupational therapy approaches to SAD.

On October 29, 1986, the investigation of the Challenger accident criticized NASA for not “ estimating the probability of failure of the various elements .” Further, in January 1988, the Post-Challenger investigation recommended that “ probabilistic risk assessment approaches be applied to the Shuttle risk management program.

Further research is needed to better understand the relationship approaches in both groups.

Further, even within these two broad usages of the term, there are different approaches, which are covered below.

Further developments in rethinking strategies and approaches to achieving the MDGs include research by the Overseas Development Institute into the role of equity.

Further out from the plateau more woods covered the approaches from Warsaw.

He found that pressure increases luminosity, so that hydrogen, for example, the flame of which gives no light in normal circumstances, burns with a luminous flame under a pressure of ten or twenty atmospheres, and the inference he drew was that the presence of solid particles is not the only factor that determines the light-giving power of a flame, Further, he showed that the spectrum of a dense ignited gas resembles that of an incandescent liquid or solid, and he traced a gradual change in the spectrum of an incandescent gas under increasing pressure, the sharp lines observable when it is extremely attenuated broadening out to nebulous bands as the pressure rises, till they merge in the continuous spectrum as the gas approaches a density comparable with that of the liquid state.

Further, these approaches carry a greater risk of behavioral fallout, such as the escalation of the aggressive behavior and / or redirected aggression on the owner or other family members.

Further development of archontology as academic discipline requires new approaches.

Further upstream, the river enters some particularly beautiful and tranquil countryside as it approaches the village of Grantchester.

Further, Latin and Arabic scripts have fundamentally different approaches to typefaces: while Latin fonts have serif and sans-serif versions, Arabic fonts have different distinctions ( see Islamic calligraphy ).

Further, it has recently been found in functional magnetic resonance imaging ( fMRI ) experiments involving highly ambiguous sentences result in a more activated inferior frontal gyrus.

Further advance in liver transplant involves only resection of the lobe of the liver involved in tumors and the tumor-free lobe remains within the recipient.

Further south, between Royal Society Range in the west and the west coast of McMurdo Sound at the lobe of Koettlitz Glacier are, from north to south:

Further, represents the constant function, the function that always returns, no matter the input.

Further, there is a generalization of the Stone – Weierstrass theorem to noncompact Tychonoff spaces, namely, any continuous function on a Tychonoff space is approximated uniformly on compact sets by algebras of the type appearing in the Stone – Weierstrass theorem and described below.

Further developments included generalization of the Fourier integral, " beginning with Plancherel's pathbreaking L < sup > 2 </ sup >- theory ( 1910 ), continuing with Wiener's and Bochner's works ( around 1930 ) and culminating with the amalgamation into L. Schwartz's theory of distributions ( 1945 )...", and leading to the formal development of the Dirac delta function.

Further, it appears that " the creators DeCSS have taken Fawcus ' code almost verbatim-the only alteration was the removal of Fawcus ' copyright header and a paragraph containing commentaries, and a change of the function names.

Further, f is a band shape function and f is the correspondent first derivative.

Further changes in blood flow can lead to decline in lung function.

Consider a graph G with vertices V, each numbered 1 through N. Further consider a function shortestPath ( i, j, k ) that returns the shortest possible path from i to j using vertices only from the set

Further, since many domestic animals show a behaviour that is derived from their wild ancestors ( such as the herding instinct of cattle or the social instincts of dogs ), and are fit to survive under natural circumstances, as evidenced by the many feral populations of many domestic animals, it can be presumed that back-bred animals will function like their wild ancestors.

Further development of the theory of elliptic functions shows that the condition on Weierstrass's function is determined up to addition of a constant and multiplication by a non-zero constant by the condition on the poles alone, amongst all meromorphic functions with the given period lattice.

Further, there is a natural base point, namely the linear function – this is the function with shortest path length in this space.

Further evaluation of a person's respiratory function can be done by assessing the minute ventilation, forced vital capacity ( FVC ), and forced expiratory volume ( FEV ).

Further research implicates the supplementary role of Proliferating cell nuclear antigen ( PCNA ) to DNA Ligase I ’ s function of joining Okazaki fragments.

Further, typical attacks only require finding one library or function ; other interesting elements such as the heap and stack are separately randomized and are not derivable from the mmap () base.

Further study has shown that the self-reported likelihood of risking one's life to save other's life is directly a function of the degree of genetic relatedness to the helper ( Burnstein et al., 1994 )

Further suppose g is a function for which the two expectations E ( g ( X ) ( X − μ ) ) and E ( g ′( X ) ) both exist ( the existence of the expectation of any random variable is equivalent to the finiteness of the expectation of its absolute value ).

Further, different fisheye lenses distort images differently, and the manner of distortion is referred to as their mapping function.

Further, pain medications may be given and physical therapy is used to retain muscle function.

Further, conjugate priors may give intuition, by more transparently showing how a likelihood function updates a distribution.

Further, F is the quantile function of the F-distribution, with p and degrees of freedom, is the statistical significance level, and the symbol means the transpose of.

Further, rank must be some well-defined function from module theory, such as rank of an abelian group or vector space dimension, that yields finite values on the cohomology groups in question.

Further, consider a function.

' Further, the report argued that the matriarchal structure of black culture weakened the ability of black men to function as authority figures.